New posts in Diophantine Equations

Prove that there are no integers $x$ and $y$ such that $3x^2=13+4y^2$

Is there a general formula for three Pythagorean Triangles which share an area?

$\{a+b|a,b\in\mathbb N^+\wedge ma^2+nb^2\in\mathbb P\}=\{k>1|\gcd(k,m+n)=1\}$

Solve the Diophantine equation $x^6 + 3x^3 + 1 = y^4$

First 30 solutions of Pell's equation.

$x^5 + y^2 = z^3$

When all of $n-2$, $n+2$, $n^2-2$, and $n^2+2$ are primes?

Wieferich's criterion for Fermat's Last Theorem

Finding solutions to $2^x+17=y^2$

On elementary proofs of Fermat's Last Theorem